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Finding the Fourth Proportional to 262,837.58, 394,314.87 and 75,834.50

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Solution

The fourth proportional to 262,837.58, 394,314.87 and 75,834.50 is: 113,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,837.58 : 394,314.87 = 75,834.50 : x
  2. Step 2: Convert to fraction form
    262,837.58/394,314.87 = 75,834.50/x
  3. Step 3: Cross multiply
    262,837.58x = 394,314.87 × 75,834.50
  4. Step 4: Simplify right side
    262,837.58x = 29,902,671,009.02
  5. Step 5: Solve for x
    x = 29,902,671,009.02/262,837.58
  6. Step 6: Final answer
    x = 113,768.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.